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Definition df-singleton 32413
Description: Define the singleton function. See brsingle 32468 for its value. (Contributed by Scott Fenton, 4-Apr-2014.)
Assertion
Ref Expression
df-singleton Singleton = ((V × V) ∖ ran ((V ⊗ E ) △ ( I ⊗ V)))

Detailed syntax breakdown of Definition df-singleton
StepHypRef Expression
1 csingle 32389 . 2 class Singleton
2 cvv 3350 . . . 4 class V
32, 2cxp 5275 . . 3 class (V × V)
4 cep 5189 . . . . . 6 class E
52, 4ctxp 32381 . . . . 5 class (V ⊗ E )
6 cid 5184 . . . . . 6 class I
76, 2ctxp 32381 . . . . 5 class ( I ⊗ V)
85, 7csymdif 4004 . . . 4 class ((V ⊗ E ) △ ( I ⊗ V))
98crn 5278 . . 3 class ran ((V ⊗ E ) △ ( I ⊗ V))
103, 9cdif 3729 . 2 class ((V × V) ∖ ran ((V ⊗ E ) △ ( I ⊗ V)))
111, 10wceq 1652 1 wff Singleton = ((V × V) ∖ ran ((V ⊗ E ) △ ( I ⊗ V)))
Colors of variables: wff setvar class
This definition is referenced by:  brsingle  32468  fnsingle  32470
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